Durrr . . . sometimes I discover something so simple all I can say is "durrrrrr". I've been working with SSAS for over 2 years now and never knew that you could process more than one SSAS object at a time using SQL Server Management Studio. In case anyone else is as dense as me . . .
Simply open the Object Explorer Details window if it's not already open. Click on the folder containing the objects to be processes. Select multiple objects in the browser and initiate processing. That simple. I'm not sure why SSMS doesn't allow the selection of multiple objects in the Object Explorer tree control.